technician

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Let X denote the number of times a certain numericalcontrol machine will malfunction: 1, 2, or 3times on any given day. Let Y denote the number oftimes a technician is called on an emergency call. Theirjoint probability distribution is given below:

a.Find the marginal distributiong(x), x= 1, 2, 3.
b.Find the marginal distributionh(y), y= 1, 2, 3.
c.List thecumulativedistribution function F(x).
d.List thecumulativedistribution function F(y).
e.Find the conditional distribution of f(x|y), P(X = 1 | Y = 3).
f.Find the conditional distribution of f(y|x), P(X = 3| Y = 3).
g.Determine if the random variables are statistically independentconsidering f(2, 1). 

f(x, y)
Y
135
3
0.05
0.05
0.00
x
2
0.05
0.10
0.20
3
0.10
0.35
0.10
Transcribed Image Text:f(x, y) Y 135 3 0.05 0.05 0.00 x 2 0.05 0.10 0.20 3 0.10 0.35 0.10
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman